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Finding the Fourth Proportional to 271,807.80, 406,905.30 and 201,996.60

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Solution

The fourth proportional to 271,807.80, 406,905.30 and 201,996.60 is: 302,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.80 : 406,905.30 = 201,996.60 : x
  2. Step 2: Convert to fraction form
    271,807.80/406,905.30 = 201,996.60/x
  3. Step 3: Cross multiply
    271,807.80x = 406,905.30 × 201,996.60
  4. Step 4: Simplify right side
    271,807.80x = 82,193,487,121.98
  5. Step 5: Solve for x
    x = 82,193,487,121.98/271,807.80
  6. Step 6: Final answer
    x = 302,395.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.